Let {U1,U2} and {v1,v2} be ordered bases for R2 where Let u1= 1/3 Let U2=2/7 and v1=5/2 v2= 4/9
(a) Determine the transition matrix corresponding to a change of basis from the standard basis {e1,e2} to the ordered basis {u1,u2}. Use this transition matrix to find the coordinate of x=(1,1)T with respect to {u1,u2}.
(b) Determin the transition matrix corresponding to a change of basis from the basis {v1,v2} to the ordered basis {u1,u2}. Use this transition matrix to find the coordinates of z= 2v1+3v2 with respect to (u1,u2}.

d

step-by-step explanation:

hello and welcome!

so, when we see the words "proportional" along with a table, we need to know that we're looking numbers that divide by the same thing.

looking at this table, we simply have to do a trial and error, and divide to see which numbers have the same quotient. if you look at choice a & c, they both have equal quotients for three of the numbers, with one exception, so those can't be the answer. looking at b, there is no similarity, so that can't be it. then, we see d; if you divide all the numbers in the table, you'll see that they all divide by two, which is a proportional relationship, and our answer!

also, always remember that the x will always be the number that goes into y, and somewhere behind this table, is a formula. for this specific table, the formula would be:

since our x-value is being divided by two to get the y-value. and if they were to ask for more numbers in the series, this is the formula you would use to find them.

its a, i had the same answer, its from study island right

step-by-step explanation:

1332.

this is because to get from 333 to 999 you multiply by 3, and you should do the same to the number of hours.

therefore you would do 444*3=1332